829edo: Difference between revisions
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== Theory == | == Theory == | ||
829edo is [[consistent]] to the [[11-odd-limit]]. | 829edo is [[consistent]] to the [[11-odd-limit]]. It [[tempers out]] [[4375/4374]], {{monzo| -25 6 -3 8 }}, and {{monzo| 16 -9 -8 6 }} in the 7-limit; [[41503/41472]], [[200704/200475]], and 3750705/3748096 in the 11-limit. It [[support]]s [[squarschmidt]], [[senior]] and [[acrokleismic]]. | ||
=== Prime harmonics === | === Prime harmonics === | ||
| Line 26: | Line 26: | ||
| {{monzo| 1314 -829 }} | | {{monzo| 1314 -829 }} | ||
| {{mapping| 829 1314 }} | | {{mapping| 829 1314 }} | ||
| | | –0.0302 | ||
| 0.0302 | | 0.0302 | ||
| 2.09 | | 2.09 | ||
| Line 33: | Line 33: | ||
| {{monzo| 39 -29 3 }}, {{monzo| 61 4 -29 }} | | {{monzo| 39 -29 3 }}, {{monzo| 61 4 -29 }} | ||
| {{mapping| 829 1314 1925 }} | | {{mapping| 829 1314 1925 }} | ||
| | | −0.0454 | ||
| 0.0327 | | 0.0327 | ||
| 2.26 | | 2.26 | ||
| Line 47: | Line 47: | ||
| 4375/4374, 41503/41472, 200704/200475, 3750705/3748096 | | 4375/4374, 41503/41472, 200704/200475, 3750705/3748096 | ||
| {{mapping| 829 1314 1925 2327 2868 }} | | {{mapping| 829 1314 1925 2327 2868 }} | ||
| | | −0.0076 | ||
| 0.0844 | | 0.0844 | ||
| 5.83 | | 5.83 | ||
| Line 54: | Line 54: | ||
| 4096/4095, 4375/4374, 4459/4455, 47432/47385, 59535/59488 | | 4096/4095, 4375/4374, 4459/4455, 47432/47385, 59535/59488 | ||
| {{mapping| 829 1314 1925 2327 2868 3068 }} | | {{mapping| 829 1314 1925 2327 2868 3068 }} | ||
| | | −0.0282 | ||
| 0.0898 | | 0.0898 | ||
| 6.20 | | 6.20 | ||
| Line 97: | Line 97: | ||
== Music == | == Music == | ||
; [[Francium]] | ; [[Francium]] | ||
* "confluencelessness" from ''albumwithoutspaces'' (2024) | * "confluencelessness" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/7luOwK0nu7Cq9hmJy6W7L9 Spotify] | [https://francium223.bandcamp.com/track/confluencelessness Bandcamp] | [https://www.youtube.com/watch?v=eKDAs6aHF1s YouTube] – acrokleismic[19] in 829edo tuning | ||